415000320520 has 128 divisors (see below), whose sum is σ = 1024002000000. Its totient is φ = 150666227712.

The previous prime is 415000320457. The next prime is 415000320521. The reversal of 415000320520 is 25023000514.

It is a junction number, because it is equal to n+sod(n) for n = 415000320491 and 415000320500.

It is not an unprimeable number, because it can be changed into a prime (415000320521) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16927231 + ... + 16951729.

It is an arithmetic number, because the mean of its divisors is an integer number (8000015625).

Almost surely, 2^415000320520 is an apocalyptic number.

415000320520 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 415000320520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (512001000000).

415000320520 is an abundant number, since it is smaller than the sum of its proper divisors (609001679480).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

415000320520 is a wasteful number, since it uses less digits than its factorization.

415000320520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25415 (or 25411 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 22.

The spelling of 415000320520 in words is "four hundred fifteen billion, three hundred twenty thousand, five hundred twenty".